Replica treatment of non-Hermitian disordered Hamiltonians
Disordered Systems and Neural Networks
2009-11-07 v2 Mesoscale and Nanoscale Physics
Abstract
We employ the fermionic and bosonic replicated nonlinear sigma models to treat Ginibre unitary, symplectic, and orthogonal ensembles of non-Hermitian random matrix Hamiltonians. Using saddle point approach combined with Borel resummation procedure we derive the exact large-N results for microscopic density of states in all three ensembles. We also obtain tails of the density of states as well the two-point function for the unitary ensemble.
Keywords
Cite
@article{arxiv.cond-mat/0109126,
title = {Replica treatment of non-Hermitian disordered Hamiltonians},
author = {Shinsuke M. Nishigaki and Alex Kamenev},
journal= {arXiv preprint arXiv:cond-mat/0109126},
year = {2009}
}
Comments
REVTeX 3.1, 13 pages, 1 figure; typos fixed (v2)